To solve for the value of the rational expression [tex]\(\frac{15 - x}{9 - x}\)[/tex] when [tex]\(x = 3\)[/tex], we need to follow these steps:
1. Substitute the value of [tex]\(x\)[/tex] into the expression:
[tex]\[
\frac{15 - 3}{9 - 3}
\][/tex]
2. Simplify the numerator and the denominator separately:
[tex]\[
\text{Numerator: } 15 - 3 = 12
\][/tex]
[tex]\[
\text{Denominator: } 9 - 3 = 6
\][/tex]
3. Form the rational expression with the simplified numerator and denominator:
[tex]\[
\frac{12}{6}
\][/tex]
4. Simplify the fraction:
[tex]\[
\frac{12}{6} = 2
\][/tex]
So, the value of the rational expression [tex]\(\frac{15 - x}{9 - x}\)[/tex] when [tex]\(x = 3\)[/tex] is [tex]\(2\)[/tex]. Thus, the correct answer is:
C. 2
